A number is greater than thrice its reciprocal by 26/3. What is the number?
Let the number be $$x$$
According to ques, => $$x - \frac{3}{x} = \frac{26}{3}$$
=> $$\frac{x^2 - 3}{x} = \frac{26}{3}$$
=> $$3x^2 - 9 = 26x$$
=> $$3x^2 - 26x - 9 = 0$$
=> $$3x^2 + 1x - 27x - 9 = 0$$
=> $$x(3x + 1) - 9(3x + 1) = 0$$
=> $$(3x + 1)(x - 9) = 0$$
=> $$x = 9 , \frac{-1}{3}$$
=> Ans - (C)
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